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Finding the Third Proportional to 207,338 and 311,798

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Solution

The third proportional to 207,338 and 311,798 is: 468,886.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,338 : 311,798 = 311,798 : x
  2. Step 2: Convert to fraction form
    207,338/311,798 = 311,798/x
  3. Step 3: Cross multiply
    207,338x = 311,798 × 311,798
  4. Step 4: Simplify right side
    207,338x = 97,217,992,804
  5. Step 5: Solve for x
    x = 97,217,992,804/207,338
  6. Step 6: Final answer
    x = 468,886.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.